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Beliebt Geometry >

leitkurve-1/2 (x-4)^2+3

Lösung

leitkurve

- \frac{1}{2} (x - 4)^{2} + 3

Lösung

y = \frac{7}{2}

Schritte zur Lösung

Rewrite

y = - \frac{1}{2} (x - 4)^{2} + 3

in the standard form:

4 (- \frac{1}{2}) (y - 3) = (x - 4)^{2}

(h, k) = (4, 3), p = - \frac{1}{2}

Parabola is symmetric around the y-axis and so the directrix is a line parallel to the x-axis, a distance

- p

from the center

(4, 3)

y-coordinate

y = 3 - p

y = 3 - (- \frac{1}{2})

Fasse zusammen

y = \frac{7}{2}

Graph

Beliebte Beispiele

leitkurve-4x^2+8x+1

d i rec t r i x - 4 x^{2} + 8 x + 1

leitkurve x-4y^2=0

d i rec t r i x x - 4 y^{2} = 0

leitkurve x=(-y-1)(y+3)

d i rec t r i x x = (- y - 1) (y + 3)

leitkurve y=24x-3x^2

d i rec t r i x y = 24 x - 3 x^{2}

leitkurve x=-5y^2

d i rec t r i x x = - 5 y^{2}